Demonstrate your results for equilateral triangles, squares, pentagons, hexagons and octagons (as a minimum). Diagrams should be drawn accurately by hand where possible.
Do you think that a regular heptagon would tessellate?
Are there properties of these shapes which determine whether they tessellate or not?
Research some of the following and present examples:
Daisy Designs Tumbling Block Designs Tessellations with other non regular geometric shapes, for example a triangle Tessellations using translations Tessellations using rotations Tessellations using reflections Tessellations using capital letters Semi regular tessellations Mauritis Cornelis Escher Tessellations in 3-d (in nature) Tangrams Wall Paper patterns Maori symbols that tessellate Kow haiw hai Tukutuku patterns Taniko
Ensure your work includes some Maori patterns.
WALLPAPER DESIGN
Create your own wallpaper design using your research which you would like to hang on your bedroom wall.
Your submitted piece of work needs to include original brainstorming ideas regarding theme and colour, any designs which you considered before selecting the final design and most importantly two full colour examples of your wallpaper. The examples should demonstrate how the wallpaper lines up between sections when hung. The minimum size for each example is an A4 piece of paper. If necessary the detail of parts of the pattern may be drawn on a computer, but the translation and pattern repeat interval must be constructed by hand.
If you have additional time you may research other types of wall covering and/or attempt the Paving Paths problem below.
Please ensure all work is named on the back.
EXTENSION
Paving Paths problem:
How many different ways can I lay 10 paving slabs each 50 cm by 1 metre, to make a path 1 metre wide from my back door into my garden, without cutting any of the paving slabs?
Answers should be presented with a detailed method.
All students are expected to conference with Mrs Attard every morning their classroom is doing classroom maths during this assignment.
Work is due Wednesday 12th November, all students are expected to submit some work on tessellations including considering multiple regular polygons and why they may or may not tessellate along with research on a minimum of three patterns plus two pieces of wallpaper.
Investigate which regular polygons tessellate.
Demonstrate your results for equilateral triangles, squares, pentagons, hexagons and octagons (as a minimum). Diagrams should be drawn accurately by hand where possible.
Do you think that a regular heptagon would tessellate?
Are there properties of these shapes which determine whether they tessellate or not?
Research some of the following and present examples:
Daisy Designs
Tumbling Block Designs
Tessellations with other non regular geometric shapes, for example a triangle
Tessellations using translations
Tessellations using rotations
Tessellations using reflections
Tessellations using capital letters
Semi regular tessellations
Mauritis Cornelis Escher
Tessellations in 3-d (in nature)
Tangrams
Wall Paper patterns
Maori symbols that tessellate
Kow haiw hai
Tukutuku patterns
Taniko
Ensure your work includes some Maori patterns.
WALLPAPER DESIGN
Create your own wallpaper design using your research which you would like to hang on your bedroom wall.
Your submitted piece of work needs to include original brainstorming ideas regarding theme and colour, any designs which you considered before selecting the final design and most importantly two full colour examples of your wallpaper. The examples should demonstrate how the wallpaper lines up between sections when hung. The minimum size for each example is an A4 piece of paper. If necessary the detail of parts of the pattern may be drawn on a computer, but the translation and pattern repeat interval must be constructed by hand.
If you have additional time you may research other types of wall covering and/or attempt the Paving Paths problem below.
Please ensure all work is named on the back.
EXTENSION
Paving Paths problem:
How many different ways can I lay 10 paving slabs each 50 cm by 1 metre, to make a path 1 metre wide from my back door into my garden, without cutting any of the paving slabs?
Answers should be presented with a detailed method.
All students are expected to conference with Mrs Attard every morning their classroom is doing classroom maths during this assignment.
Work is due Wednesday 12th November, all students are expected to submit some work on tessellations including considering multiple regular polygons and why they may or may not tessellate along with research on a minimum of three patterns plus two pieces of wallpaper.